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104178857224 = 231317220726699
BaseRepresentation
bin110000100000110001…
…0110011010100001000
3100221220101220021200111
41201001202303110020
53201324241412344
6115505322244104
710345435450501
oct1410142632410
9327811807614
10104178857224
1140200281412
1218235356634
139a934c4b20
145084051ba8
152a9b03e834
hex18418b3508

104178857224 has 64 divisors (see below), whose sum is σ = 222844608000. Its totient is φ = 45231965184.

The previous prime is 104178857221. The next prime is 104178857227. The reversal of 104178857224 is 422758871401.

It is a happy number.

104178857224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104178857221) and next prime (104178857227).

It is not an unprimeable number, because it can be changed into a prime (104178857221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3888627 + ... + 3915325.

It is an arithmetic number, because the mean of its divisors is an integer number (3481947000).

Almost surely, 2104178857224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104178857224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422304000).

104178857224 is an abundant number, since it is smaller than the sum of its proper divisors (118665750776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104178857224 is a wasteful number, since it uses less digits than its factorization.

104178857224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28942 (or 28938 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 49.

The spelling of 104178857224 in words is "one hundred four billion, one hundred seventy-eight million, eight hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2207 4414 8828 17656 26699 28691 37519 53398 57382 75038 106796 114764 150076 213592 229528 300152 347087 453883 487747 694174 907766 975494 1388348 1815532 1950988 2776696 3631064 3901976 5900479 11800958 23601916 47203832 58924693 117849386 235698772 471397544 766021009 1001719781 1532042018 2003439562 3064084036 4006879124 6128168072 8013758248 13022357153 26044714306 52089428612 104178857224